208361106 has 64 divisors (see below), whose sum is σ = 503193600. Its totient is φ = 63666000.

The previous prime is 208361099. The next prime is 208361119. The reversal of 208361106 is 601163802.

208361106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 208361106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28531 + ... + 35081.

It is an arithmetic number, because the mean of its divisors is an integer number (7862400).

Almost surely, 2^208361106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 208361106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

208361106 is an abundant number, since it is smaller than the sum of its proper divisors (294832494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

208361106 is a wasteful number, since it uses less digits than its factorization.

208361106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6612 (or 6606 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 208361106 is about 14434.7187710741. The cubic root of 208361106 is about 592.8418920878.

The spelling of 208361106 in words is "two hundred eight million, three hundred sixty-one thousand, one hundred six".